Final answer:
The ratios of the lengths of corresponding sides of the quadrilaterals are directly proportional to the ratio of the areas. A ratio of x:y for the lengths results in a ratio of x^2:y^2 for the areas. Doubling the length of one side results in the area being quadrupled.
Step-by-step explanation:
The ratios of the lengths of corresponding sides of the quadrilaterals are directly proportional to the ratio of the areas of the quadrilaterals. If the ratio of the lengths of corresponding sides is x:y, then the ratio of the areas is x^2:y^2. This means that if the length of one side is doubled, the area will be quadrupled.